12999917952 has 1152 divisors, whose sum is σ = 52242278400. Its totient is φ = 3065610240.

The previous prime is 12999917951. The next prime is 12999917999. The reversal of 12999917952 is 25971999921.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12999917952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12999917951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 419352177 + ... + 419352207.

It is an arithmetic number, because the mean of its divisors is an integer number (45349200).

Almost surely, 2^12999917952 is an apocalyptic number.

12999917952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12999917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26121139200).

12999917952 is an abundant number, since it is smaller than the sum of its proper divisors (39242360448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12999917952 is a wasteful number, since it uses less digits than its factorization.

12999917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its digits is 8266860, while the sum is 63.

The spelling of 12999917952 in words is "twelve billion, nine hundred ninety-nine million, nine hundred seventeen thousand, nine hundred fifty-two".